Answer:
The shaded region is .
Step-by-step explanation:
The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply .
15m is the radius of the large circle, and also the diameter of the smaller circles.
The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.
As such:
Answer:
The value is placed in system of equation is -10.
Step-by-step explanation:
Given : System of equations and
To find : Which value when placed in the box (?) would result in system of equations which infinitely many solutions ?
Solution :
For a system of equations to have infinitely many solutions,
The equations have to be linearly dependent i.e. one of the equations is a multiple of the other equation.
In the given system of equations,
The second equation have to be a multiple of the first equation.
Re-write equation 1 as
The second equation is the first equation multiplied by 2,
i.e.
On comparing the missing term is -10.
Therefore, the value is placed in system of equation is -10.
Answer:
x=7 x=-5
Step-by-step explanation:
x^2 – 2x – 35 = 0
Factor
What two numbers multiply to -35 and add to -2
-7*5 = -35
-7+5 = -2
(x-7) (x+5 ) =0
Using the zero product property
x-7 =0 x+5 =0
x=7 x=-5
In a toss coin, the only result is a head or a tails. Therefore
that ½ of the time you can win or ½ of the time you can lose. Therefore the
probability of losing three games in a row is:
<span>P = (1/2) * (1/2) * (1/2)
P = 0.125</span>
<span>Therefore the answer is “True”.</span>
Answer:
Step-by-step explanation:
Given that among employed women, 35% have never been married. Select 11 employed women at random.
a) probability for success in each trial p = 0.35 and no of trials = n =11
b) the probability that exactly 3 of the 11 women in your sample have never been married=
P(X=3) =
c) the probability that 2 or fewer women have never been married
=